2. Given the parabola f(x) = -(x+ 2)² + 4, find the x-intercept(s). x = -2, x = 4 x = 4 x = 0, x = -4

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A: y=4exSubstitute x=0y=4e0=4The point is (0,4)

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A: According to the company rules we can answer only first three subparts and rest can be reposted.

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Q: Isin ()

A: 72sin(π5x) =75xnow here there are two curves  y =72sin(π5x) →(1) y=75x  →(2)solving by graphical met...

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A: Given: ∫1x+xdx

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A: Given information: 2.5m=Minimum depth of water for a boat to floatdt=the depth as function of time a...

Q: Solve the given differential equation. All solutions should be founc 3x? – 4y – y 4x + 3xy? dy | dx ...

A: Follow next step

Q: Answer

A: Please refer to the image below

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A: V(t) =1.6 e0.039ta)   substitute t=0 for 2006     V(0) =1.6e0= 1.6      Value of country's export in...

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A: The given vector v→=2,-4,4

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Q: S(x+ )´ dx 2 1 X X.

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Q: When you evaluate: dx The sum of the coefficient of X" for any constant n is 16 A 7 8 7 2 D) None of...

A: The given problem is solved below in detail.

Q: Evaluate the integral f 2x (x² + 5) dx using the substitution 13 u = x +5. 2x (x² + 5)*° d =| +C

A: I =∫ 2 x (x2+5)13 dx  u = x2+5du = 2x dxI =∫ u13  du We know that,∫ xn  dx =xn+1n+1+C

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Q: Evaluate the following: 1. S(6x² – 4x + 1) dx

A: As we know that; The Sum rule: ∫fx±gxdx=∫fxdx±∫gxdx The Power rule: ∫xndx=xn+1n+1+C ; n≠-1 And ∫c·fx...

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Q: Find the limit of the sequence using L'Hôpital's Rule. (In(n))² an = 13n (Use symbolic notation and ...

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Q: Using integration bby parts, uV-/v du. Txt +2x+ 2 cove for solution. dv = V =

A: According to the question, we will choose u and v to solve this question by integration by parts .

Q: Consider the function (T) 12z mean slope of the function on this intervat. 30r 10 on the interval 6,...

A: Average or mean slope is fiven by f(b)-f(a)b-aThe value of c can be calculated byf'(c)=f(b)-f(a)b-a ...

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A: Given,           ∫ax2ax2a+13xdx

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A: Here we will find the integration, 

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Q: There is a jump discontinuity at x = 1 and lim f(x) = 1

A: At X=1, there is a jump discontinuity.   limx→1- f(x) = 1.As function f(x) approaches towards 1 from...

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Q: Find the derivative of the function. 1 g(t): (5t + 1)6 30 g'(t) = (5x +1)7

A: Explanation of the answer is as follows

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A: Given query is to find the value of a and b.

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Q: 21. (MULTIPLE CHOICE) Determine which of the following set of functions is(are) linearly depen- dent...

A: Note -  Acc. to Bartleby guidelines , we are supposed to do only one question . If you want more to ...

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A: Given r= 2.(1+cos@) To find area of cardioid